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- The Ohio State UniversityUS9 papers
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4 papers · 2 filters
Bourgain discretization using Lebesgue-Bochner spaces
Mikhail I. Ostrovskii, Beata Randrianantoanina
We study the Lebesgue-Bochner discretization property of Banach spaces , which ensures that the Bourgain's discretization modulus for has a good lower estimate. We prove tha…
The -Dunford Pettis property
R. M. Causey
Using the hierarchy of weakly null sequences introduced by Argyros, Merkourakis, and Tsarpalias, we introduce two new families of operator classes. The first family simultaneously…
A characterization of superreflexivity through embeddings of lamplighter groups
Mikhail I. Ostrovskii, Beata Randrianantoanina
We prove that finite lamplighter groups with a standard set of generators embed with uniformly bounded distortions into any non-superrefl…
Three and a half asymptotic properties
R. M. Causey
We define and discuss transfinite asymptotic notions of smoothability, type, and equal norm type. We prove distinctness of these notions for a proper class of ordinals and that eac…